Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour.

I’m stuck can some one help me

abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-7, x_2=-10,y_2=8$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )$

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-10, x_2=3,y_2=10$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )$

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

$x^2-3x-28$

We will break the middle term and find factors

$x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)$

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

$x^2+6x+8$

We will break the middle term and find factors

$x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)$

So, the factors are (x+4)(x+2)

Option A is correct.

7 0

2 years ago

What Is the value of x

SCORPION-xisa [38]

Answer:

15

Step-by-step explanation:

5 0

2 years ago

Solve by factoring <br>7x^2-14x=0

Nataly_w [17]

7x²-14x=0
7x²=-14x
sry idk the rest hope this helped a little bit

5 0

3 years ago

There are 3 consecutive integers such that the sum of the 2 smallest integers is 17 less than three times the largest. What is t

RSB [31]

Answer:

X + (X+1) +(X+2)

(X+(X+1)) = 3 *(X+2) + 17

2X +1 = 3X + 6 +17

X = -22

So the three integers are -22 -21 and -20

Double-Check *******************

(-22 -21) = 3 * (-20)

-43 = -60 +17

Step-by-step explanation:

8 0

2 years ago

A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven

Likurg_2 [28]

Complete question is;

A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x¯ = 7.27 years for CEOs with a standard deviation of s = 6.38 years (The Wall Street Journal, January 2, 2007).

a. Formulate hypotheses that can be used to challenge the validity of the claim made by

the shareholders’ group.

b. Assume 85 companies were included in the sample. What is the p-value for your hypothesis

test?

Answer:

A) Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) p-value = 0.3488

Step-by-step explanation:

A) We are told that the shareholders group claimed that the mean tenure for a chief executive office (CEO) was at least seven years.

Thus, defining the hypothesis, we have;

Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) Sample mean: x¯ = 7.27 years standard deviation: s = 6.38 years

Sample size = 85

Formula for the test static is;

t = (x¯ - μ)/(s/√n)

t = (7.27 - 7)/(6.38/√85)

t = 0.39

From online p-value from t score calculator attached using: t = 0.39, DF= 85 - 1 = 84, significance value = 0.05, one tail, we have;

p-value = 0.3488

5 0

2 years ago